Results 31 to 40 of about 281 (90)

Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators

International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 10, Page 611-617, 2002., 2002
Suppose that X is an arbitrary real Banach space and T : X → X is a Lipschitz strongly pseudocontractive operator. It is proved that under certain conditions the Ishikawa iterative method with errors converges strongly to the fixed point of T and this iteration procedure is stable with respect to T.
Zeqing Liu, Lili Zhang, Shin Min Kang
wiley   +1 more source

Some Generalizations of Non-Unique Fixed Point Theorems of Ćirić-type for (Φ, ψ)-Hybrid Contractive Mappings

Annales Mathematicae Silesianae, 2019
In this article, we establish some non-unique fixed point theorems of Ćirić’s type for (Φ, ψ)–hybrid contractive mappings by using a similar notion to that of the paper [M. Akram, A.A. Zafar and A.A.
Olatinwo Memudu O.
doaj   +1 more source

Characterizations of weak-ANODD set-valued mappings with applications to an approximate solution of GNMOQV inclusions involving ⊕ operator in ordered Banach spaces

, 2013
In ordered Banach spaces, characterizations of ordered (αA,λ)-weak-ANODD set-valued mappings are introduced and studied, which is applied to giving an approximate solution for a new class of general nonlinear mixed-order quasi-variational inclusions ...
Hong Gang Li, D. Qiu, Yangyang Zou
semanticscholar   +1 more source

Bounded solutions of nonlinear Cauchy problems

Abstract and Applied Analysis, Volume 7, Issue 12, Page 637-661, 2002., 2002
For a given closed and translation invariant subspace Y of the bounded and uniformly continuous functions, we will give criteria for the existence of solutions u ∈ Y to the equation u′(t) + A(u(t)) + ωu(t)∍f(t), t ∈ ℝ, or of solutions u asymptotically close to Y for the inhomogeneous differential equation u′(t) + A(u(t)) + ωu(t)∍f(t), t > 0, u(0) = u0,
Josef Kreulich
wiley   +1 more source

Approximation solvability for a system of implicit nonlinear variational inclusions with Η-monotone operators

Demonstratio Mathematica, 2018
In this paper, we introduce and study a new system of variational inclusions which is called a system of nonlinear implicit variational inclusion problems with A-monotone and H-monotone operators in semi-inner product spaces.
Kim Jong Kyu, Bhat Muhammad Iqbal
doaj   +1 more source

Solving GNOVI frameworks involving (γG,λ)-weak-GRD set-valued mappings in positive Hilbert spaces

, 2014
First, a new concept, positive Hilbert spaces, is introduced and some fundamental inequalities which are applied to studying the properties of the resolvent operator associated for (γG,λ)-weak-GRD set-valued mappings are introduced and discussed in ...
Hong Gang Li, X. Pan, Zhibing Deng, C. Wang   +3 more
semanticscholar   +1 more source

Iterative solutions of K‐positive definite operator equations in real uniformly smooth Banach spaces

International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 3, Page 155-160, 2001., 2001
Let X be a real uniformly smooth Banach space and let T : D(T)⫅X → X be a K‐positive definite operator. Under suitable conditions we establish that the iterative method by Bai (1999) converges strongly to the unique solution of the equation Tx = f, f ∈ X.
Zeqing Liu, Shin Min Kang, Jeong Sheok Ume   +2 more
wiley   +1 more source

More general common fixed point theorems under a new concept

Demonstratio Mathematica, 2016
A general common fixed point theorem for two pairs of weakly subsequentially continuous mappings (recently introduced) satisfying a significant estimated implicit function is proved. An extension of this result is thereby obtained. Our results assert the
Bouhadjera H.
doaj   +1 more source

Ergodicity and Kolmogorov equations for dissipative SPDEs with singular drift: a variational approach [PDF]

, 2017
We prove existence of invariant measures for the Markovian semigroup generated by the solution to a parabolic semilinear stochastic PDE whose nonlinear drift term satisfies only a kind of symmetry condition on its behavior at infinity, but no restriction
Marinelli, Carlo, Scarpa, Luca
core   +2 more sources

Iterative approximation for split common fixed point problem involving an asymptotically nonexpansive semigroup and a total asymptotically strict pseudocontraction

, 2014
In this paper, we prove the strong convergence theorem for split feasibility problem involving a uniformly asymptotically regular nonexpansive semigroup and a total asymptotically strict pseudocontractive mapping in Hilbert spaces.
P. Cholamjiak, Y. Shehu
semanticscholar   +1 more source